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Simplifying 3(x + 6) + -2(3x + -2) = -20 Reorder the terms: 3(6 + x) + -2(3x + -2) = -20 (6 * 3 + x * 3) + -2(3x + -2) = -20 (18 + 3x) + -2(3x + -2) = -20 Reorder the terms: 18 + 3x + -2(-2 + 3x) = -20 18 + 3x + (-2 * -2 + 3x * -2) = -20 18 + 3x + (4 + -6x) = -20 Reorder the terms: 18 + 4 + 3x + -6x = -20 Combine like terms: 18 + 4 = 22 22 + 3x + -6x = -20 Combine like terms: 3x + -6x = -3x 22 + -3x = -20 Solving 22 + -3x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3x = -20 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = -20 + -22 -3x = -20 + -22 Combine like terms: -20 + -22 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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